engleski

Derivation of a model of nonlinear micropolar plate

In this paper we derive a two-dimensional model of nonlinear micropolar plate. We start from the equilibrium problem for the three-dimensional nonlinear micropolar elastic plate-like body with nonlinear strains and linear constitutive law. Using the asymptotic expansion we formally derive the two-dimensional problem, posed on the middle plane of the plate-like body, for the leading deformation and microrotation.

Nonlinear micropolar elasticity; Plate model; Asymptotic expansion

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